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Finding the Third Proportional to 56,828 and 86,972

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Solution

The third proportional to 56,828 and 86,972 is: 133,105.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,828 : 86,972 = 86,972 : x
  2. Step 2: Convert to fraction form
    56,828/86,972 = 86,972/x
  3. Step 3: Cross multiply
    56,828x = 86,972 × 86,972
  4. Step 4: Simplify right side
    56,828x = 7,564,128,784
  5. Step 5: Solve for x
    x = 7,564,128,784/56,828
  6. Step 6: Final answer
    x = 133,105.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.